If we begin by considering the form of spatial arrangement, we seem to find at first complete real externality. All the points there are terms which may be taken indifferently in every kind of arrangement, and the relations seem indifferent and merely outward. But this statement, as soon as we reflect, must partly be modified. The terms cannot be taken truly as being that which actually they are not. And the conclusion will follow that the terms actually and in fact are related amongst themselves in every possible manner. Every space, if so, would be a whole in which the parts throughout are inter-related already in every possible position, and reciprocally so determine one another. And this, if puzzling, seems at least to follow inevitably from the premises. And from this the conclusion cannot be drawn that the terms are inwardly indifferent to their relations; for the whole internal character of the terms, it seems, goes out, on the contrary, and consists in these. And how can a being, if absolutely relative, be related merely externally? And if you object that the ques- APPENDIX. 577 APPENDIX. 577 lion is not about mere space, but rather about things in space, this is in fact the point to which I am desiring to direct your attention. Space by itself and its barely spatial relations and terms are all alike mere abstractions, useful no doubt but, if taken as independently real, inconsistent and false. And in a less degree the same holds, I would now urge, also of bodies in space and of their relations therein.
We have seen that a mere space of mere external relations is an inconsistent abstraction, and that, for space to exist at all, there must be an arrangement which is more than spatial. Without qualitative differences (pp. 17, 38) there are no distinctions in space at all, there is neither position nor change of position, neither shape nor bodies nor motion. And just as in this sense there are no mere spatial relations without concrete terms, so in another sense also there is nothing barely spatial. The terms and the relations between them are themselves mere abstractions from a more concrete qualitative unity. Neither the things in space nor their space, nor both together, can be taken as substantial. They are abstractions depending on a more con- crete whole which they fail to express. And their apparent externality is itself a sign that we have in them appearance and not ultimate reality.
As to that apparent externality there can be no doubt. Why this thing is here and not there, what the connection is in the end between spatial position and the quality that holds it and is determined by it, remains unknown. In mechanical explanation generally the connection of the elements with the laws — even if the laws themselves were rational — remains unknown and external, and the reason why the results follow from the premises is admitted at a certain point to be left outside. Where this point is to be placed, whether at the beginning or merely when we arrive at secondary qualities, it is not necessary here to settle. But any such irrationality and externality cannot be the last truth about things. Somewhere there must be a reason why this and that appear together. And this reason and reality must reside in the whole from which terms and relations are abstractions, a whole in which their internal connection must lie, and out of which from the background appear those fresh results which never could have come from the premises. The merely external is, in short, our ignorance set up as reality, and to find it anywhere, except as an inconsistent aspect of fact, we have seen is impossible.
But it will be objected on the part of Common Sense that we must keep to the facts. The billiard-balls on a table may be in any position you please, and you and I and another may be changed respectively in place, and yet none of these things by these changes is altered in itself. And the apparent fact that by external change in space and time a thing may be affected, is, 57^ APPENDIX.
I presume, rejected on the ground that this does not happen when you come down to the last elements of things. But an important if obvious distinction seems here overlooked. For a thing may remain unaltered if you identify it with a certain character, while taken otherwise the thing is suffering change. If, that is, you take a billiard-ball and a man in abstraction from place, they will of course — so far as this is maintained — be indifferent to changes of place. But on the other hand neither of them, if regarded so, is a thing which actually exists; each is a more or less valid abstraction. But take them as existing things and take them without mutilation, and you must regard them as determined by their places and qualified by the whole material system into which they enter. And, if you demur to this, I ask you once more of what you are going to predicate the alterations and their results. The billiard-ball, to repeat, if taken apart from its place and its position in the whole, is not an existence but a character, and that character can remain unchanged, though the existing thing is altered with its changed existence. Everything other than this identical character may be called relatively external. It may, or it may not, be in comparison unimportant, but absolutely external it cannot be. And if you urge that in any case the relation of the thing's character to its spatial existence is unintelligible, and that how the nature of the thing which falls outside our abstraction contributes to the whole system, and hmv that nature is different as it contributes differently, is in the end unknown — I shall not gainsay you. But I prefer to be left with ignorance and with inconsistencies and with insoluble diffi- culties, difficulties essential to a lower and fragmentary point of view and soluble only by the transcendence of that appearance in a fuller whole, a transcendence which in detail seems for us impossible — I prefer, I say, to be left thus rather than to embrace a worse alternative. I cannot on any terms accept as absolute fact a mere abstraction and a fixed standing inconsistency. And the case surely is made worse when one is forced to admit that, start- ing from this principle, one sooner or later cannot in the very least explain those results which follow in fact.
I will next consider the argument for merely external relations which has been based on Comparison. Things may be the same, it is said, but not related until you compare them, and their relations then fall quite outside and do not qualify them. Two men with red hair for example, it may be urged, are either not related at all by their sameness, or when related by it are not altered, and the relation therefore is quite external. Now if I suggest that possibly all the red-haired men in a place might be ordered to be collected and destroyed, I shall be answered, I presume, that their red hair does not affect them directly, and though I think this answer unsatisfactory, I will pass on. But APPENDIX. 579 APPENDIX. 579 with regard to Comparison I will begin by asking a question. It is commonly supposed that by Comparison we learn the truth about things; but now, if the relation established by comparison falls outside of the terms, in what sense, if at all, can it be said to qualify them? And of what, if not of the terms, are the truths got by comparison true? And in the end, I ask, is there any sense, and, if so, what sense in truth that is only outside and " about " things? Or, from the other side, if truth is truth can it be made by us, and can what is only made by us possibly be true? These are questions which, I venture to repeat, should be met by the upholders of mere external relations.
For myself I am convinced that no such relations exist. There is no identity or likeness possible except in a whole, and every such whole must qualify and be qualified by its terms. And, where the whole is different, the terms that qualify it and contribute to it must so far be different, and so far therefore by becoming elements in a fresh unity the terms must be altered. They are altered so far only, but still they are altered. You may take by abstraction a quality A, By or C, and that abstract quality may throughout remain unchanged. But the terms related are more than this quality, and they will be altered. And if you reply that at any rate the term and its quality are external the one to the other, I reply, Yes, but not, as you say, external merely and absolutely. For nothing in the world is external so except for our ignorance.
We have two things felt to be the same but not identified. We compare them, and then they are related by a point of identity. And nothing, we hear, is changed but mere extrinsical relations. But against this meaningless thesis I must insist that in each case the terms are qualified by their whole, and that in the second case there is a whole which differs both logically and psycho- logically from the first whole; and I urge that in contributing to this change the terms are so far altered. They are altered though in respect of an abstract quality they remain the same.
Let us keep to our instance of two red-haired men, first seen with red hair but not identified in this point, and then these two men related in the judgment, 'They are the same in being red- haired.' In each case there is a whole which is qualified by and qualifies the terms, but in each case the whole is different. The men are taken first as contained in and as qualifying a perceived whole, and their redness is given in immediate unconditional unity with their other qualities and with the rest of the undivided sensible totality. But, in the second case, this sensible whole has been broken up, and the men them- selves have been analyzed. They have each been split up into a connection of red-hairedness with other qualities, while the red-hairedness itself has become a subject and a point of unity connecting the diversities of each instance, diversities which are $&0 APPENDIX.
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predicated of it and connected with one another under it. And the connection of the two men's diversities with this general quality, and with one another through it, I must insist is truth and is reality however imperfect and impure. But this logical synthesis is a unity different from the sensible whole, and in passing into this unity I cannot see how to deny that the terms have been altered. And to reply that, if you abstract and keep to the abstract point of red-hairedness, there is no change, is surely a complete ignoratio elenchi.1 By being red-haired the two men are related really, and their relation is not merely external. If it were so wholly it would not be true or real at all, and, so far as it seems so, to that extent it is but the appearance of something higher. The correlation of the other circumstances of and characters in the two men with the quality of red-hairedness cannot in other words possibly be bare chance. And if you could have a perfect relational know- ledge of the world, you could go from the nature of red- hairedness to these other characters which qualify it, and you could from the nature of red-hairedness reconstruct all the red-haired men. In such perfect knowledge you could start internally from any one character in the Universe, and you could from that pass to the rest. You would go in each case more or less directly or indirectly, and with unimportant characters the amount of indirectness would be enormous, but no passage would be external. Such knowledge is out of our reach, and it is perhaps out of the reach of any mind that has to think relationally. But if in the Absolute knowledge is perfected, as we conclude it is, then in a higher form the end of such knowledge is actually realized, and with ignorance and chance the last show of externality has vanished. And if this seems to you monstrous, I ask you at least to examine for yourself, and to see whether a merely external truth is not more monstrous.
1 But I am a red-haired man,' I shall hear, c and I know what I am, and I am not altered in fact when I am compared with another man, and therefore the relation falls outside.' But no finite individual, I reply, can possibly know what he is, and the idea that all his reality falls within his knowledge is even ridiculous. His ignorance on the contrary of his own being, and of what that involves, may be called enormous. And if by 'what he is' he means certain qualities in abstraction from the rest, then let him say so and admit that his objection has become irrelevant. If the nature and being of a finite individual were 1 No comparison, I would remark here, can possibly end in nothing. If you took two terms which had no more visibly in common than the fact that they exist or are thought, yet the comparison still has a result. You have stated the truth that existence or thought is an identity which somehow has within it these diversities, and that they somehow are connected in and qualify this unity. And I must insist that, poor as this is, it is not nothing, nor again is it the same as the mere sensuous togetherness of the terms.
APPENDIX. 581 APPENDIX. 581 complete in itself, then of course he might know himself perfectly and not know his connection with aught else. But, as he really is, to know perfectly his own nature would be, with that nature, to pass in knowledge endlessly beyond himself. For example, a red-haired man who knew himself utterly would and must, starting from within, go on to know everyone else who has red hair, and he would not know himself until he knew them. But, as things are, he does not know how or why he himself has red hair, nor how or why a different man is also the same in that point, and therefore, because he does not know the ground, the how and why, of his relation to the other man, it remains for him relatively external, contingent, and fortuitous. But there is really no mere externality except in his ignorance.
We have seen that, logically and really, all relations imply a whole to which the terms contribute and by which the terms are qualified. And I will now briefly point out that psychologically the same thing holds good. When, in the first place, I merely experience things the same in one point, or in other words merely experience the sameness of two things, and when, in the second place, I have come to perceive the point of sameness and the relation of the two things — there is in each case in my mind a psychical whole. But the whole in each case is different, and the character of the whole must depend on the elements which it contains, and must also affect them. And an element passing into a fresh whole will be altered, though it of course may remain the same from one abstract side. But I will not dwell on a point which seems fairly clear, and which, except as an illustration, is perhaps not quite relevant. Still it is well to note the fact that a merely external relation seems psychologically meaningless.
Nothing in the whole and in the end can be external, and everything less than the Universe is an abstraction from the whole, an abstraction more or less empty, and the more empty the less self-dependent Relations and qualities are abstractions, and depend for their being always on a whole, a whole which they inadequately express, and which remains always less or more in the background. It is from this point of view that we should approach the question, How can new qualities be developed and emerge? It is a question, I would repeat, which, with regard to secondary qualities, has been made familiar to us. But the problem as to the 'limits of explanation' must for metaphysics arise long before that point is reached. Into this matter I shall not enter, but I desire to lay stress on the general principle. Where results emerge in fact, which do not follow from our premises, there is nothing here to surprise us. For behind the abstractions we have used is the concrete qualitative whole on which they depend, and hence what has come out in the result has but issued from the conditions which (purposely 582 APPENDIX.
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or otherwise) we have endeavoured to ignore and to exclude. And this should prove to us that the premises with which we worked were not true or real, but were a mutilated fragment of reality.
(iv) I will deal now with a problem connected with the fore- going. I have in this book, wherever it was convenient, spoken of identity as being a relation. And I may be asked whether and how I am able to justify this. For terms are related, it will be said, for instance when I compare them, and, it seems, not before. And my past states when recalled by identity are related to my present, but apparently otherwise not so. And my state and another man's may be more or less identical, but they seem not always to connect us. On the other hand of course we meet with the old difficulty as to my merely making the relations which I find, and any such position appears to be untenable. Hence on the one side, it seems, we must, and on the other side, it seems, we cannot say that all identity is a relation. The solution of the problem is however, in a few words, this. Identity must be taken as having a development through several stages. At a certain stage no identity is relational, while at a higher stage all is so. And because in the Absolute the highest stage is actually realized, therefore we may, where convenient, treat identity as being already a relation, when actually for us it is not one. This statement I will now proceed to explain briefly.
We have seen that as a fact sameness exists at a stage below relations. It exists as an aspect both of a diversity felt in my mind and again of a diversity taken to exist beyond my feeling. Now this aspect is not the mere adjective of independent things, and any such view I consider to be refuted. The diversity itself depends on and exists only as the adjective of a whole; and within this whole the point of sameness is a unity and a universal realized in the differences which through it are the same. But so far this unity is, we may say, immediate and not relational. And the question is why and how we can call it a relation, when it is not a relation actually for us. It would never do for us simply and without any explanation to fall back on the "potential," for that, if unexplained, is a mere attempt at compromise between 'is' and 'is not.' But if the "potential" is used for that which actually is, and which under certain conditions is not manifest, the " potential " may cease to be a phrase and may become the solution of the problem.
All relations, we have seen, are the inadequate expression of an underlying unity. The relational stage is an imperfect and incomplete development of the immediate totality. But, on the other hand, it really is a development. It is an advance and a necessary step towards that perfection which is above APPENDIX. 583 APPENDIX. 583 relations, supersedes and still includes them. Hence in the Absolute, where all is complete, we are bound to hold that every development reaches its end — whatever that end may be, and in whatever sense we are to say the thing comes to it. The goal of every progress therefore may be taken as already attained in Reality and as now present and actual I do not mean that without exception all immediate sameness must pass through the relational consciousness. But without exception no sameness reaches its truth and final reality except in the Whole which is beyond relations and which carries out what they attempt And in the main the way of relations is the necessary mode of progress from that which is incomplete to its perfection. All sameness then not only may but must become relational, or at least must be realized in the same end and on the same principle as would have perfected it if it had passed through relational identity. And because in the Absolute what must be is, I think that, wherever there is identity, we may speak of a relation — so long of course as we are clear about the sense in which we speak of it.
And this is how and why, in thinking, I can find the relations that I make. For what I develop is in the Absolute already complete. But this, on the other hand, does not mean that my part in the affair is irrelevant, that it makes no difference to truth and is external. To be made and to be found is on the contrary essential to the development and being of the thing, and truth in its processes and results belongs to the essence of reality. Only, here as everywhere, we must distinguish between what is internally necessary and what is contingent. It belongs to the essence of sameness that it should go on to be thought and to be thought in a certain way. But that it should be thought by you and not by me, by a man with brown hair or with red, does not belong to its essence. These features in a sense qualify it, for they are conjoined to it, and no conjunction can in the end be a mere conjunction and be barely external. But the connection here is so indirect and so little individual, it involves so much of other conditions lying in the general background, so much the introduction of which would by addition tend to transform and swamp this particular truth and fact as such — that such features are rightly called external and contingent But contingency is of course always a matter of degree.
This leads to the question whether and how far Resemblance qualifies the real Resemblance is the perception or feeling of a more or less unspecified partial identity; and, so far as the identity is concerned, we have therefore already dealt with it. But taking resemblance not as partial identity but as a mode in which identity may appear, how are we to say that it belongs to reality? Certainly it belongs and must belong, and about 584 APPENDIX.
that there is no question. The question is, in a word, about the amount and degree of its necessity and contingency. Have I a right, wherever I find partial sameness, to speak of resem- blance, in the proper sense, as I had a right under the same conditions to speak of a relation? As a matter of fact not all identity appears under the form of resemblance, and can I conclude, Somehow in the Absolute it all must, and therefore does, possess this form, and may therefore everywhere be spoken of as possessing it? The answer to this question is to be found, I presume, in an enquiry into the conditions of resemblance. What is it that is added to the experience of partial sameness in order to make it into the experience of resemblance? Can this addition be looked on as a development of sameness from within, and as a necessary step to its completion, or does it on the other hand depend on conditions which are relatively external? How direct, in other words, is the connection between resemblance and identity, and, in order to get the former from the latter, what amount of other conditions would you have to bring in, and how far in the end could you say that the resem- blance came from the identity rather than from these other conditions? If you can conclude, as for myself I certainly cannot, that resemblance (proper) is an essential development of sameness, then if you will also affirm the principle that in Reality what must be is actual already — you will have a right for certain purposes to call the same 'similar,' even where no similarity appears. But to do this otherwise, except of course by way of a working fiction, will surely be indefensible.1 With this I must end these too imperfect remarks on relation and quality. I will take up some other points with regard to Identity and Resemblance in the following Note.